For a measurable space, let C and D be convex, weak* closed sets of probability measures. We show that if C∪D satisfies the Lyapunov property, then there exists a measurable set A such that that min{P(E) : P∈C}>max{Q(E) : Q∈D}. We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability.
When an event makes a difference
AMARANTE, MASSIMILIANO;Maccheroni, Fabio
2006
Abstract
For a measurable space, let C and D be convex, weak* closed sets of probability measures. We show that if C∪D satisfies the Lyapunov property, then there exists a measurable set A such that that min{P(E) : P∈C}>max{Q(E) : Q∈D}. We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
